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Finding the Fourth Proportional to 57,106.58, 78,808.03 and 31,267.38

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Solution

The fourth proportional to 57,106.58, 78,808.03 and 31,267.38 is: 43,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106.58 : 78,808.03 = 31,267.38 : x
  2. Step 2: Convert to fraction form
    57,106.58/78,808.03 = 31,267.38/x
  3. Step 3: Cross multiply
    57,106.58x = 78,808.03 × 31,267.38
  4. Step 4: Simplify right side
    57,106.58x = 2,464,120,542.89
  5. Step 5: Solve for x
    x = 2,464,120,542.89/57,106.58
  6. Step 6: Final answer
    x = 43,149.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.